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On the approximation of the elastica functional in radial symmetry

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Abstract.

We prove a result concerning the approximation of the elastica functional with a sequence of second order functionals, under radial symmetry assumptions. This theorem is strictly related to a conjecture of De Giorgi [8].

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Authors and Affiliations

  1. Dipartimento di Matematica, Universitá di Roma “Tor Vergata”, via della Ricerca Scientifica, 00133, Roma, Italy

    G. Bellettini

  2. Dipartimento di Matematica, Universitá di Pisa, via Buonarroti 2, 56127, Pisa, Italy

    L. Mugnai

  3. Max Planck Institute for Gravitational Physics, Am Mühlenberg 1, 14476, Golm, Germany

    L. Mugnai

Authors
  1. G. Bellettini
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  2. L. Mugnai
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Correspondence to G. Bellettini.

Additional information

Received: 26 July 2004, Accepted: 19 October 2004, Published online: 22 December 2004

The first author is grateful to Maurizio Paolini for useful discussions.

The second author gratefully acknowledges the hospitality and the support of the Max Planck Institute for Gravitational Physics in Golm, where this paper was completed.

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Bellettini, G., Mugnai, L. On the approximation of the elastica functional in radial symmetry. Calc. Var. 24, 1–20 (2005). https://doi.org/10.1007/s00526-004-0312-7

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